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4239820 = 2251323709
BaseRepresentation
bin10000001011000111001100
321222101221101
4100023013030
52041133240
6230512444
751015664
oct20130714
97871841
104239820
112436492
121505724
13b55a90
147c51a4
1558b39a
hex40b1cc

4239820 has 48 divisors (see below), whose sum is σ = 10019520. Its totient is φ = 1495296.

The previous prime is 4239811. The next prime is 4239821. The reversal of 4239820 is 289324.

4239820 = T116 + T117 + ... + T299.

4239820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 47 + 29 + 313 + 96 + 8 + 221 + 0 .

It is not an unprimeable number, because it can be changed into a prime (4239821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5626 + ... + 6334.

It is an arithmetic number, because the mean of its divisors is an integer number (208740).

Almost surely, 24239820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4239820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009760).

4239820 is an abundant number, since it is smaller than the sum of its proper divisors (5779700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4239820 is a wasteful number, since it uses less digits than its factorization.

4239820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4239820 is about 2059.0823198697. The cubic root of 4239820 is about 161.8511562800.

The spelling of 4239820 in words is "four million, two hundred thirty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 709 1196 1418 1495 2836 2990 3545 5980 7090 9217 14180 16307 18434 32614 36868 46085 65228 81535 92170 163070 184340 211991 326140 423982 847964 1059955 2119910 4239820